Question

An exponential function, f, passes through the points (-2,-4) and (1,10). Which two points would lie on the graph of function g if g(x) = 3f(x)?

Answer 1

Answer:

(-2,-12) and (1,30)

Step-by-step explanation:

we know that

f(x) passes through the points (-2,-4) and (1,10)

That means

For x=-2 ----> f(-2)=-4

For x=1 ----> f(1)=10

we have

g(x)=3f(x)

so

substitute the given value of f(x) to obtain the value of the function g(x)

For x=-2 -----> g(-2)=3f(-2) ----> g(-2)=3(-4)=-12

For x=1 -----> g(1)=3f(1) ----> g(1)=3(10)=30

therefore

The two points that would lie on the graph of function g are

(-2,-12) and (1,30)